Function Transformations

What

• Translations (slides): horizontal and vertical.
• Reflections (flips): across lines of symmetry, especially the x-axis, y-axis, and the line y=x.
• Rotations: generally around a point of symmetry like the origin.
• Dilations (compressions and stretches): horizontal and vertical.

Why

• Studying transformations will help you understand the relationship between graphs and the algebra that describes them and between similar graphs,
• You should be able to determine the equation of a function by looking at its graph
• You should be able to sketch the graph of a function by looking at its equation.

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